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Gaussian fluctuation for spatial average of super-Brownian motion

 
Title:
Gaussian fluctuation for spatial average of super-Brownian motion
Speaker:
蒲飞 博士,北京师范大学数学科学学院
Inviter: 赵国焕 副研究员
Time & Venue:

2022.5.11 15:00 腾讯会议号:797-266-281

Abstract:

Let $\{u(t, x)\}_{(t,x)\in\mathbb{R}_+\times \mathbb{R}}$ be the density of one-dimensional super-Brownian motion starting from Lebesgue measure. Using the Laplace functional of super-Brownian motion, we prove that as $N\to\infty$, the normalized spatial integral $N^{-1/2}\int_0^{Nx}[u(t, z)-1]\mathrm{d}z$ converges jointly in $(t, x)$ to Brownian sheet in distribution. This is based on joint work with Zenghu Li.

Affiliation:  

学术报告中国科学院数学与系统科学研究院应用数学研究所
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